Archimedes
,
Archimedis De iis qvae vehvntvr in aqva libri dvo
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0078
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ARCHIMEDIS
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& </
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0078-01
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http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0078-01
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ſionem rationis
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ut e b ad e g,
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ita f d ad f h.
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<
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echoid-s1980
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ad e b, ita c f
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ad f d. </
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<
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echoid-s1981
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">ex æqua
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li igitur ut a e
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ad e g, ita c f
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ad f h.</
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<
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. </
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">Aptentur lineæ a b, c d inter ſe ſe, ita ut ad partes
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a c angulum faciant; </
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">& </
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<
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">ſint a c in uno atque eodem puncto: </
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iungantur d b, h g, fe. </
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<
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">cum igitur ſit ut a e ad e b, ita c f, hoc eſt
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a f ad f d; </
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<
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">æquidiſtabit fe ipſi d b: </
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">ſimiliter h g eidem d b
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æquidiſtabit: </
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">quoniam a h ad h d eſt, ut a g ad g b. </
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<
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">ergo f c, h g
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inter ſe ſe æquidiſtant: </
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">idcirco ut a e ad e g, ita a f; </
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fh. </
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<
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">Sint rurſus duæ portiones ſimiles, contentæ rectis li-
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neis, & </
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<
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">rectangulorum conorum ſectionibus, ut in ſupe-
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riori figura a b c, cuius diameter b d: </
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<
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<
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">e f c, cuius
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diameter f g: </
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<
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">ducaturque à puncto e linea e h, diame-
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tris b d, f g æquidiſtans, quæ ſectionem a b c in _k_ ſe-
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cet: </
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<
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<
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">à puncto c ducatur c h contingens ſectionem
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a b c in c conueniensque cumlinea e h in h, quæ ſectio
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nem quoque e f c in eodem c puncto continget, ut demon
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strabitur. </
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<
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">Dico lineam ductam ab ipſa c h uſque ad ſe-
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ctionem e f c, ita ut lineæ e h æquidistet, in eandem pro
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portionem diuidi à ſectione a b c; </
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<
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